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131,861

131,861 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

131,861 (one hundred thirty-one thousand eight hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20315.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
144
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
168,131
Recamán's sequence
a(228,650) = 131,861
Square (n²)
17,387,323,321
Cube (n³)
2,292,709,840,430,381
Divisor count
2
σ(n) — sum of divisors
131,862
φ(n) — Euler's totient
131,860

Primality

131,861 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131861
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,861)
1 × 131861
First multiples
131,861 · 263,722 (double) · 395,583 · 527,444 · 659,305 · 791,166 · 923,027 · 1,054,888 · 1,186,749 · 1,318,610

Sums & aliquot sequence

As a sum of two squares: 230² + 281²
As consecutive integers: 65,930 + 65,931

Continued fraction of √n

√131,861 = [363; (7, 1, 8, 3, 6, 1, 16, 38, 6, 13, 25, 1, 6, 4, 2, 1, 2, 1, 1, 1, 1, 3, 1, 1, …)]

Representations

In words
one hundred thirty-one thousand eight hundred sixty-one
Ordinal
131861st
Binary
100000001100010101
Octal
401425
Hexadecimal
0x20315
Base64
AgMV
One's complement
4,294,835,434 (32-bit)
Scientific notation
1.31861 × 10⁵
As a duration
131,861 s = 1 day, 12 hours, 37 minutes, 41 seconds
In other bases
ternary (3) 20200212202
quaternary (4) 200030111
quinary (5) 13204421
senary (6) 2454245
septenary (7) 1056302
nonary (9) 220782
undecimal (11) 90084
duodecimal (12) 64385
tridecimal (13) 48032
tetradecimal (14) 360a9
pentadecimal (15) 2910b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλαωξαʹ
Mayan (base 20)
𝋰·𝋩·𝋭·𝋡
Chinese
一十三萬一千八百六十一
Chinese (financial)
壹拾參萬壹仟捌佰陸拾壹
In other modern scripts
Eastern Arabic ١٣١٨٦١ Devanagari १३१८६१ Bengali ১৩১৮৬১ Tamil ௧௩௧௮௬௧ Thai ๑๓๑๘๖๑ Tibetan ༡༣༡༨༦༡ Khmer ១៣១៨៦១ Lao ໑໓໑໘໖໑ Burmese ၁၃၁၈၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠌕
CJK Unified Ideograph-20315
U+20315
Other letter (Lo)

UTF-8 encoding: F0 A0 8C 95 (4 bytes).

Hex color
#020315
RGB(2, 3, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.21.

Address
0.2.3.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.21

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 131,861 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 131861 first appears in π at position 876,714 of the decimal expansion (the 876,714ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.